Trying to get my g.e.d but been stuck on math for 3 years.
Failed my math test 3 times.

Dividing whole numbers by decimals and mixed decimals.

How come when doing problems like 2,193 divided by .303

you dont put the decimal uptop 3 places to the right? the answer came out to 70237.7
I thought since you move the decimal over 3 spots you do that to the top answer... How come the decimal in 70237.7 is 5 spots over?
I thought it would be 702.377 because i moved the decimal 3 spots.
I'm confused on the place holder and how to bring it up in the right location...

1. The answer is not 70,237.7 I think you carried a 1 or something some where but it's supposed to be 7,237.7.

They provide a answer sheet on the back of the packet so i can check my answers. But if i can't solve the problem then theres no reason i should take the test if i can't solve on my own.

Anyways i'm taking a practice test on the internet and i'm stuck on this problem any help would be great.

One of the first electronic computers was in the shape of a huge box. It was 96 feet long and 2.5 feet wide. The amount of space inside was approximately 3,000 cubic feet. How many feet high was the computer?

edit to add: You simply misplaced the unknown and the volume. Just get comfortable with a bit of rearranging to solve for "x" from there, and you should be set for any problems like that in the future.

For example, let me give you a couple that are a tad bit more difficult than that one. Just remember that 1 foot = 12 inches.

A box has a total volume of 5,000 cubic inches. Its length is 2.4 feet, its width is 2 feet. What is the box's height in feet?

A football field is covered in children so deep that it holds 64200 cubic yards of children. If a football field is 100 yards long, and 53.5 yards wide, how deep is the stack of children? Give answer in inches.

Spoiler: (Highlight this box to see the hidden message.)

64200 yards = 100 yards * 53.5 yards * x yards (height)
12 yards = x

Convert yards to feet, then inches.

12 yards * 3 = 36 feet
36 feet * 12 = 432 inches.

Answer: The football field is covered 432 inches deep in children. This is approximately the same height as 6 grown-*** men standing on top of one another.

Okay, so to simplify the one that you just gave me, you're first going to distribute the 6x to both terms in the parentheses. So you end up with two answers which you'll stick back together to form the final answer.

6x * 3x = 18x^2
6x * -x = -6x^2

Stick them back together:

18x^2 - 6x^2

Now, you'll notice that they can be combined to give a final answer. If you had something like 18x^2 - 6x, you wouldn't be able to combine them because one is an x^2, and the other is a simple x.

So, just do simple subtraction, and you get 12x^2. So, 6x (3x -x) can be simplified to 12x^2.

Just something to note, whenever you've got two terms that can be combined in the parentheses (x and x, or x^2 and x^2, so on...), combine them before distributing the term outside the parentheses.

So, in this case, you'd actually have 6x(2x), and that simplifies to 12x^2.

As a more complex example, let's simplify 2x(3x^2 - 12).

2x * 3x^2 = 6x^3
2x * -12 = -24x.

6x^3 -24x | This is your final answer. Can't simplify an x^3 and an x beyond this point, so leave it at this.

A little more complex:

2x(3x^2 - 2) + 5x(2x^2 + 7)

Now you're going to distribute the two to the parentheses right next to it, and do the same with the 5. Then stick it all together, and combine like terms to get your final answer.

6x^3 -4x + 10x^3 + 35x

Combine like terms (the -4x and the 35x, and the 6x^3 and the 10x^3)

16x^3 + 31x

You can even do the same thing with x's and y's in the same equation, and I can give you a few examples and problems if you want. But for now, here are some problems to work:

The order of operations that he's talking about only applies when you've got two terms which can be combined in the same parentheses. 3x - x can be, since both are to the same power. But with the problems I gave you, it won't work that way. One thing that you can't do is take an x^2 down to an x. If it's an x^2, it stays that way for the entire problem (unless you're multiplying it by something with another x). Same with x, x^3, so on and so forth.

So just take the 3x and multiply it by everything in the parentheses directly beside it. You get 30x^2 and -36x^3. How I'm getting these numbers is that you multiply the coefficients (the numbers in front) first, and then add the number of X's together.

3x * 3x = 9x^2.

Repeat the same process for the -2x and what is in the parentheses right beside it, and you get -4x^2 - 8x

So, you've distributed the terms to their respective parentheses. Now you've got 4 terms that need to be stuck together so you can do a final simplification.

30x^2 -36x^3 -4x^2 - 8x.

Now, you can't just stick these all together because they've got x's in them. You have to combine the terms with the same exponents together to get your final answer. So let's look at the what we've got so far. There's only one term with an x, and only one term with an x^3, so we have to leave those as they are. But there are two terms with an x^2, so we can deal with those this way.

Keeping the same signs as they had previously, we get 30x^2 - 4x^2 = 26x^2. And that's as far as we can go, since we only have on term with an x^2, one with an x, and one with an x^3.

Bringing the other two terms that we couldn't do anything with down, we get our final answer, which is -36x^3 + 26x^2 - 8x.

Edit- It should be noted that unless we know what X is, simplifying beyond that is impossible. If we knew that x was 2, for instance, we could do it like this:

-36(2^3) + 26(2^2) - 8(2) = -200

But because we don't know what x is, we can't figure out what the final answer is. Just leave it as x^3, or whatever.